| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | SEA2372017331 | MATHEMATICAL MODELING | Elective | 2 | 3 | 4 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Learn mathematical modeling, mathematical modeling, the process of mathematical modeling, establish mathematical models for real world problems solutions, to learn to take advantage of technology in the process of mathematical modeling, to understand the location of mathematical modeling in high school mathematics curriculum and to learn the mathematical modeling approaches for using their future professional teaching life. |
| Name of Lecturer(s) |
| Hayal YAVUZ MUMCU |
| Learning Outcomes |
| 1 | Model, matematiksel model, modelleme ve matematiksel modellemeyi tanımlayabilme ve ilişkilendirebilme, matematiksel modelleme sürecini tanıyabilme | | 2 | Farklı gerçek yaşam problemlerinin çözümlenmesine yönelik matematiksel modelleme yapabilme. | | 3 | Matematiksel modellemeyi gerektiren gerçek yaşam problemleri oluşturabilme ve çözümleyebilme | | 4 | Matematiksel modellemeyi ve ortaöğretim matematik dersi öğretim programını ilişkilendirebilme, model oluşturma etkinliklerini tanımlayabilme, oluşturabilme ve çözümleyebilme | | 5 | Matematiksel modelleme sürecinde teknolojiden yararlanabilme. | | 6 | To be able to define and relate r model, mathematical model modeling and mathematical modeling and to recognize mathematical modeling process. 2 To be able to make mathematical modeling for solving different real-life problems. 3 To be able to generate and analyze real-life problems that require mathematical modeling. 4 To be able to relate mathematical modeling with the secondary school mathematics curricula, to define, generate and analyze the model eliciting activities. 5 To be able to take advantage of the technology in mathematical modeling process |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Mathematical modelling,it's meaning, content and how we use mathematical models and modelling in mathematics education. |
| Weekly Detailed Course Contents |
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| 1 | What is the model and its mathematical model Samples
| | | | 2 | What is the modeling and mathematical modeling Samples | | | | 3 | Secondary school mathematics curriculum, and mathematical modeling | | | | 4 | Mathematical modeling in the different countries curriculum (Germany, Singapore, Spain, USA ...) | | | | 5 | The processes of mathematical modeling | | | | 6 | Solution of problems of mathematical modeling in the literature (Problem strawbale, Lighthouse and Bridge Problems) | | | | 7 | Solution of problems of mathematical modeling in the literature (temperature, Stairs, Problems of Population Growth) | | | | 8 | Midterm Exam | | | | 9 | Creating and mathematical modeling problems and solving them in accordance with modeling the process | | | | 10 | Association the mathematical modeling with technology | | | | 11 | Integration of appropriate technology solution to mathematical modeling problems | | | | 12 | Solutions for the problems of mathematical modeling in learning environment supported by technology. | | | | 13 | Effectiveness and efficiency of design process of activity, model eliciting activities and their
principles
| | | | 14 | Design process of model eliciting activities, designing the effectiveness of modeling | | | | 15 | Final Exam | | | | 16 | | | |
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| Recommended or Required Reading |
| All books and manuscrips about modelling. |
| Planned Learning Activities and Teaching Methods |
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| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
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| Workload Calculation |
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| Attending Lectures | 14 | 1 | 14 |
| Tutorial | 10 | 1 | 10 |
| Problem Solving | 10 | 1 | 10 |
| Team/Group Work | 10 | 1 | 10 |
| Criticising Paper | 6 | 1 | 6 |
| Self Study | 14 | 1 | 14 |
| Individual Study for Homework Problems | 14 | 1 | 14 |
| Individual Study for Mid term Examination | 14 | 1 | 14 |
| Individual Study for Final Examination | 14 | 1 | 14 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 3 | 4 | 5 | | | | | | | | | | | 5 | 5 | | | LO2 | 3 | 3 | 5 | | | | | | | | | | | 4 | 4 | | | LO3 | 3 | 4 | 5 | | | 5 | | | | | | | | 5 | 3 | | | LO4 | | 2 | 5 | | | | | | | | | | | 4 | 5 | | | LO5 | 3 | 3 | 5 | | | | | | | | | | | 5 | 4 | | | LO6 | | | | | | | | | | | | | | | | |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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